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Finding the Fourth Proportional to 176,270.40, 264,556.80 and 71,164.80

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Solution

The fourth proportional to 176,270.40, 264,556.80 and 71,164.80 is: 106,808.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,270.40 : 264,556.80 = 71,164.80 : x
  2. Step 2: Convert to fraction form
    176,270.40/264,556.80 = 71,164.80/x
  3. Step 3: Cross multiply
    176,270.40x = 264,556.80 × 71,164.80
  4. Step 4: Simplify right side
    176,270.40x = 18,827,131,760.64
  5. Step 5: Solve for x
    x = 18,827,131,760.64/176,270.40
  6. Step 6: Final answer
    x = 106,808.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.